Question

A vegetable distributor knows that during the month of August, the weights of its tomatoes are normally distributed with a mean of 0.52 lb and a standard deviation of 0.15 lb. (See Example 2 in this section.)

(a) What percent of the tomatoes weigh less than 0.67 lb? %

(b) In a shipment of 6,000 tomatoes, how many tomatoes can be expected to weigh more than 0.22 lb? tomatoes

(c) In a shipment of 3,500 tomatoes, how many tomatoes can be expected to weigh from 0.22 lb to 0.82 lb?

Answer 1

The following information has been provided:

We need to compute The corresponding z-value needed to be computed:

Therefore,

= 84.13%

(b) In a shipment of 6,000 tomatoes, how many tomatoes can be expected to weigh more than 0.22 lb? tomatoes

We need to compute The corresponding z-value needed to be computed is:

Therefore, we get that

For 6000

0.9772*6000 = 5863 tomatoes

(c) In a shipment of 3,500 tomatoes, how many tomatoes can be expected to weigh from 0.22 lb to 0.82 lb?

We need to compute The corresponding z-values needed to be computed are:

Therefore, we get:

For 3500

0.9545*3500 = 3341 tomatoes